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Zerihun Ibrahim Hassen & Gemechis File Duressa. (2024) Parameter uniform hybrid numerical method for time-dependent singularly perturbed parabolic differential equations with large delay. Applied Mathematics in Science and Engineering 32:1.
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Pratima Rai & Swati Yadav. (2021) Robust numerical schemes for singularly perturbed delay parabolic convection-diffusion problems with degenerate coefficient. International Journal of Computer Mathematics 98:1, pages 195-221.
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Swati Yadav & Pratima Rai. (2021) A Parameter Uniform Scheme for Delay Parabolic Singularly Perturbed Turning Point Problem. Differential Equations and Dynamical Systems 32:2, pages 421-436.
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Sisay Ketema Tesfaye, Tekle Gemechu Dinka, Mesfin Mekuria Woldaregay & Gemechis File Duressa. (2024) Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay. Computational Mathematics and Mathematical Physics 64:3, pages 537-554.
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Parisa Ahmadi Balootaki, Reza Khoshsiar Ghaziani, Mojtaba Fardi & Majid Tavassoli Kajani. (2024) A numerical investigation of singularly perturbed 2D parabolic convection–diffusion problems of delayed type based on the theory of reproducing kernels. Soft Computing.
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S. Priyadarshana, J. Mohapatra & S.R. Pattanaik. (2023) An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag. Mathematics and Computers in Simulation 214, pages 183-203.
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Sisay Ketema Tesfaye, Gemechis File Duressa, Mesfin Mekuria Woldaregay & Tekle Gemechu Dinka. (2023) Fitted computational method for singularly perturbed convection-diffusion equation with time delay. Frontiers in Applied Mathematics and Statistics 9.
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Naol Tufa Negero. (2023) A robust fitted numerical scheme for singularly perturbed parabolic reaction–diffusion problems with a general time delay. Results in Physics 51, pages 106724.
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Monika Choudhary & Aditya Kaushik. (2022) A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay. Journal of Applied Mathematics and Computing 69:2, pages 1377-1401.
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Sisay Ketema Tesfaye, Mesfin Mekuria Woldaregay, Tekle Gemmechu Dinka & Gemechis File Duressa. (2022) Fitted computational method for solving singularly perturbed small time lag problem. BMC Research Notes 15:1.
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Gajendra Babu, M. Prithvi, Kapil K. Sharma & V.P. Ramesh. (2022) A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay. Numerical Algorithms 91:2, pages 615-634.
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S. Priyadarshana, J. Mohapatra & S. R. Pattanaik. (2022) Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters. Computational and Applied Mathematics 41:6.
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Kamalesh Kumar, P. Pramod Chakravarthy, Higinio Ramos & Jesús Vigo-Aguiar. (2022) A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters. Journal of Computational and Applied Mathematics 405, pages 113050.
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Kamalesh Kumar, Pramod Chakravarthy Podila, Pratibhamoy Das & Higinio Ramos. (2021) A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems. Mathematical Methods in the Applied Sciences 44:16, pages 12332-12350.
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Dagnachew Mengstie Tefera, Awoke Andargie Tiruneh & Getachew Adamu Derese. (2021) Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme. Abstract and Applied Analysis 2021, pages 1-12.
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Imiru Takele Daba & Gemechis File Duressa. (2021) A hybrid numerical scheme for singularly perturbed parabolic differential‐difference equations arising in the modeling of neuronal variability. Computational and Mathematical Methods 3:5.
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Naol Tufa Negero & Gemechis File Duressa. (2021) A method of line with improved accuracy for singularly perturbed parabolic convection–diffusion problems with large temporal lag. Results in Applied Mathematics 11, pages 100174.
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Narendra Singh Yadav & Kaushik Mukherjee. (2021) On $$\varepsilon $$-Uniform Higher Order Accuracy of New Efficient Numerical Method and Its Extrapolation for Singularly Perturbed Parabolic Problems with Boundary Layer. International Journal of Applied and Computational Mathematics 7:3.
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Kamalesh Kumar, Pramod Chakravarthy P. & J. Vigo‐Aguiar. (2020) Numerical solution of time‐fractional singularly perturbed convection–diffusion problems with a delay in time. Mathematical Methods in the Applied Sciences 44:4, pages 3080-3097.
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Mukesh Kumar, Joginder Singh, Sunil Kumar & Aakansha Aakansha. (2020) A robust numerical method for a coupled system of singularly perturbed parabolic delay problems. Engineering Computations 38:2, pages 964-988.
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Swati Yadav & Pratima Rai. (2020) A higher order scheme for singularly perturbed delay parabolic turning point problem. Engineering Computations 38:2, pages 819-851.
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Pramod Chakravarthy Podila & Kamalesh Kumar. (2020) A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs. Computational and Applied Mathematics 39:3.
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Nana Adjoah Mbroh, Suares Clovis Oukouomi Noutchie & Rodrigue Yves M’pika Massoukou. (2020) A robust method of lines solution for singularly perturbed delay parabolic problem. Alexandria Engineering Journal 59:4, pages 2543-2554.
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Nana Adjoah Mbroh, Suares Clovis Oukouomi Noutchie & Rodrigue Yves M’pika Massoukou. (2020) A second order finite difference scheme for singularly perturbed Volterra integro-differential equation. Alexandria Engineering Journal 59:4, pages 2441-2447.
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L. Govindarao, J. Mohapatra & A. Das. (2020) A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics. Journal of Applied Mathematics and Computing 63:1-2, pages 171-195.
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Kamalesh Kumar, Trun Gupta, P. Pramod Chakravarthy & R. Nageshwar Rao. 2019. Applied Mathematics and Scientific Computing. Applied Mathematics and Scientific Computing
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Abhishek Das & Srinivasan Natesan. (2018) Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh. Computers & Mathematics with Applications 75:7, pages 2387-2403.
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